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Finding the Fourth Proportional to 82.16, 113.40 and 49.42

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Solution

The fourth proportional to 82.16, 113.40 and 49.42 is: 68.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 113.40 = 49.42 : x
  2. Step 2: Convert to fraction form
    82.16/113.40 = 49.42/x
  3. Step 3: Cross multiply
    82.16x = 113.40 × 49.42
  4. Step 4: Simplify right side
    82.16x = 5,604.23
  5. Step 5: Solve for x
    x = 5,604.23/82.16
  6. Step 6: Final answer
    x = 68.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.